1

**MAT334--Misc / Class Participation**

« **on:**October 08, 2018, 04:30:27 PM »

How is the Class and Tutorial participation calculated for the bonus component of the final grade?

This section allows you to view all posts made by this member. Note that you can only see posts made in areas you currently have access to.

Pages: [**1**]

1

How is the Class and Tutorial participation calculated for the bonus component of the final grade?

2

I'm struggling with this question, and I was hoping someone could help me out: $\renewcommand{\Re}{\operatorname{Re}} \renewcommand{\Im}{\operatorname{Im}}$

Show that two lines $\Re(a+ib)=0$ and $\Re(c+id)=0$ are perpendicular $ \iff \Re(a \bar{c}) = 0$

From section 1.2: Let $a = A+iB$ and $c= C+iD$. Then the lines are $Ax-By+\Re(b)=0$ and $Cx-Dy+\Re(d)=0$

Setting the slope of the first equal to the negative reciprocal of the other I get: $\frac{A}{B} = - \frac{D}{C} \iff AC=-BD$

Finally, $\Re(a \bar{c}) = AC-BD= 2AC$

How do I proceed?

Thanks!

Show that two lines $\Re(a+ib)=0$ and $\Re(c+id)=0$ are perpendicular $ \iff \Re(a \bar{c}) = 0$

From section 1.2: Let $a = A+iB$ and $c= C+iD$. Then the lines are $Ax-By+\Re(b)=0$ and $Cx-Dy+\Re(d)=0$

Setting the slope of the first equal to the negative reciprocal of the other I get: $\frac{A}{B} = - \frac{D}{C} \iff AC=-BD$

Finally, $\Re(a \bar{c}) = AC-BD= 2AC$

How do I proceed?

Thanks!

Pages: [**1**]